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690816 = 2737257
BaseRepresentation
bin10101000101010000000
31022002121210
42220222000
5134101231
622450120
75605020
oct2505200
91262553
10690816
11432025
12293940
131b2589
1413da80
15d9a46
hexa8a80

690816 has 64 divisors (see below), whose sum is σ = 2105280. Its totient is φ = 196608.

The previous prime is 690793. The next prime is 690817. The reversal of 690816 is 618096.

It is a tau number, because it is divible by the number of its divisors (64).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (690817) by changing a digit.

690816 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2560 + ... + 2816.

It is an arithmetic number, because the mean of its divisors is an integer number (32895).

2690816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 690816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1052640).

690816 is an abundant number, since it is smaller than the sum of its proper divisors (1414464).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

690816 is a wasteful number, since it uses less digits than its factorization.

690816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 690816 is about 831.1534154415. The cubic root of 690816 is about 88.4003794610.

The spelling of 690816 in words is "six hundred ninety thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 257 336 384 448 514 672 771 896 1028 1344 1542 1799 2056 2688 3084 3598 4112 5397 6168 7196 8224 10794 12336 14392 16448 21588 24672 28784 32896 43176 49344 57568 86352 98688 115136 172704 230272 345408 690816